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Finding the Fourth Proportional to 32,104.80, 48,157.20 and 8,412.30

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Solution

The fourth proportional to 32,104.80, 48,157.20 and 8,412.30 is: 12,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.80 : 48,157.20 = 8,412.30 : x
  2. Step 2: Convert to fraction form
    32,104.80/48,157.20 = 8,412.30/x
  3. Step 3: Cross multiply
    32,104.80x = 48,157.20 × 8,412.30
  4. Step 4: Simplify right side
    32,104.80x = 405,112,813.56
  5. Step 5: Solve for x
    x = 405,112,813.56/32,104.80
  6. Step 6: Final answer
    x = 12,618.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.